# There were 286,200 graphic designer jobs in a country in 2010. It has been projected that there will

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There were 286,200 graphic designer jobs in a country in 2010. It has been projected that there will be 312,500 graphic designer jobs in 2020. (a) Using the data, find the number of graphic designer jobs as a linear function of the year.

Figure out the linear change from 2010 to 2020
Number of years = 2020 - 2010
Number of years = 10

Figure out the number of graphic designer job increases:
Number of graphic designer job increases = 312,500 - 286,200
Number of graphic designer job increases = 26,300

Figure out the number of graphic designer jobs added per year
Graphic designer jobs added per year = Total Number of Graphic Designer jobs added / Number of Years
Graphic designer jobs added per year = 26,300 / 10
Graphic designer jobs added per year = 2,630

Build the linear function for graphic designer jobs G(y) where y is the year:
G(y) = 286,200 + 2,630(y - 2010)

Multiply through and simplify:
G(y) = 286,200 + 2,630(y - 2010)
G(y) = 286,200 + 2,630y - 5,286,300
G(y) = 2,630y - 5,000,100